Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization

The space Π of centered m-planes is considered in projective space P n . A principal bundle is associated with the space Π and a group connection is given on the principal bundle. The connection is not uniquely induced at the normalization of the space Π . Semi-normalized spaces Π 1 , Π 2 and normal...

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Bibliographic Details
Published in:Mathematics
Main Author: Olga Belova
Format: Text
Language:English
Published: Multidisciplinary Digital Publishing Institute 2019
Subjects:
differentiable manifold
Cartan–Laptev method
space of centered planes
normalization
reduction
connection
laptev
Online Access:https://doi.org/10.3390/math7100901
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spelling ftmdpi:oai:mdpi.com:/2227-7390/7/10/901/ 2023-08-20T04:07:51+02:00 Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization Olga Belova 2019-09-26 application/pdf https://doi.org/10.3390/math7100901 EN eng Multidisciplinary Digital Publishing Institute Algebra, Geometry and Topology https://dx.doi.org/10.3390/math7100901 https://creativecommons.org/licenses/by/4.0/ Mathematics; Volume 7; Issue 10; Pages: 901 differentiable manifold Cartan–Laptev method space of centered planes normalization reduction connection Text 2019 ftmdpi https://doi.org/10.3390/math7100901 2023-07-31T22:38:46Z The space Π of centered m-planes is considered in projective space P n . A principal bundle is associated with the space Π and a group connection is given on the principal bundle. The connection is not uniquely induced at the normalization of the space Π . Semi-normalized spaces Π 1 , Π 2 and normalized space Π 1 , 2 are investigated. By virtue of the Cartan–Laptev method, the dynamics of changes of corresponding bundles, group connection objects, curvature and torsion of the connections are discovered at a transition from the space Π to the normalized space Π 1 , 2 . Text laptev MDPI Open Access Publishing Mathematics 7 10 901
institution Open Polar
collection MDPI Open Access Publishing
op_collection_id ftmdpi
language English
topic differentiable manifold
Cartan–Laptev method
space of centered planes
normalization
reduction
connection
spellingShingle differentiable manifold
Cartan–Laptev method
space of centered planes
normalization
reduction
connection
Olga Belova
Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization
topic_facet differentiable manifold
Cartan–Laptev method
space of centered planes
normalization
reduction
connection
description The space Π of centered m-planes is considered in projective space P n . A principal bundle is associated with the space Π and a group connection is given on the principal bundle. The connection is not uniquely induced at the normalization of the space Π . Semi-normalized spaces Π 1 , Π 2 and normalized space Π 1 , 2 are investigated. By virtue of the Cartan–Laptev method, the dynamics of changes of corresponding bundles, group connection objects, curvature and torsion of the connections are discovered at a transition from the space Π to the normalized space Π 1 , 2 .
format Text
author Olga Belova
author_facet Olga Belova
author_sort Olga Belova
title Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization
title_short Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization
title_full Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization
title_fullStr Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization
title_full_unstemmed Reduction of Bundles, Connection, Curvature, and Torsion of the Centered Planes Space at Normalization
title_sort reduction of bundles, connection, curvature, and torsion of the centered planes space at normalization
publisher Multidisciplinary Digital Publishing Institute
publishDate 2019
url https://doi.org/10.3390/math7100901
genre laptev
genre_facet laptev
op_source Mathematics; Volume 7; Issue 10; Pages: 901
op_relation Algebra, Geometry and Topology
https://dx.doi.org/10.3390/math7100901
op_rights https://creativecommons.org/licenses/by/4.0/
op_doi https://doi.org/10.3390/math7100901
container_title Mathematics
container_volume 7
container_issue 10
container_start_page 901
_version_ 1774719766402957312

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